An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms
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DOI:
https://doi.org/10.15625/0866-7136/38/1/5928Keywords:
Steady-state vibration, elastic mechanism, Newmark integration metho, mode superposition method, dynamic stabilityAbstract
This paper proposes a numerical procedure based on the well-known Newmark integration method to determine initial conditions for the periodic solution of a system of linear differential equations with time-periodic coefficients. Based on this, steady-state periodic vibrations of mechanisms with elastic elements governed by linearized differential equations with time-periodic coefficients can be conveniently calculated. The proposed procedure is demonstrated by a dynamic model of a planar four-bar mechanism with the flexible coupler.
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